Oscillations of interconnected systems with C0 nonlinearities

Xiangjian He

doi:10.1017/s0334270000000461

Oscillations of interconnected systems with C⁰ nonlinearities

Research output: Journal Publication › Article › peer-review

Abstract

In this paper we establish conditions which ensure the existence of self-excited oscillations in complex dynamical systems with nondifferentiable nonlinearities, by considering those types of systems which can be viewed as an interconnection of several simpler subsystems. We find that the nonlinear terms of the system in which we are interested do not need to satisfy the Lipschitz condition.

Original language	English
Pages (from-to)	41-62
Number of pages	22
Journal	Journal of the Australian Mathematical Society Series B-Applied Mathematics
Volume	38
Issue number	1
DOIs	https://doi.org/10.1017/s0334270000000461
Publication status	Published - Jul 1996
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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title = "Oscillations of interconnected systems with C0 nonlinearities",

abstract = "In this paper we establish conditions which ensure the existence of self-excited oscillations in complex dynamical systems with nondifferentiable nonlinearities, by considering those types of systems which can be viewed as an interconnection of several simpler subsystems. We find that the nonlinear terms of the system in which we are interested do not need to satisfy the Lipschitz condition.",

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AB - In this paper we establish conditions which ensure the existence of self-excited oscillations in complex dynamical systems with nondifferentiable nonlinearities, by considering those types of systems which can be viewed as an interconnection of several simpler subsystems. We find that the nonlinear terms of the system in which we are interested do not need to satisfy the Lipschitz condition.

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Oscillations of interconnected systems with C⁰ nonlinearities

Abstract

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